Authors: Bokan, Neda
Gilkey, Peter
Živaljević, Rade 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: An inhomogeneous elliptic complex
Journal: Journal d'Analyse Mathématique
Volume: 61
Issue: 1
First page: 367
Last page: 393
Issue Date: 1-Jan-1993
Rank: M22
ISSN: 0021-7670
DOI: 10.1007/BF02788849
Abstract: 
We define a 3 term sequence P of differential operators of mixed type; the first and third operators are 1st order while the second operator is 2nd order. P is always elliptic; it forms a complex if M is einstein. It was first discussed by Gasqui. P is related to similar complexes C and G discussed by 02 Calabi and Gasqui-Goldschmidt. The index and equivariant index of P vanish. In dimension 2, P=C⊗s where S is of Dirac type;C and-S determine the same equivariant index. We study the heat equation asymptotics of the operators of P; the associated Laplacians do not have scalar leading symbol.
Publisher: Springer Link

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